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Finding the Fourth Proportional to 512,255.36, 706,665.12 and 321,199.04

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Solution

The fourth proportional to 512,255.36, 706,665.12 and 321,199.04 is: 443,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,255.36 : 706,665.12 = 321,199.04 : x
  2. Step 2: Convert to fraction form
    512,255.36/706,665.12 = 321,199.04/x
  3. Step 3: Cross multiply
    512,255.36x = 706,665.12 × 321,199.04
  4. Step 4: Simplify right side
    512,255.36x = 226,980,158,145.49
  5. Step 5: Solve for x
    x = 226,980,158,145.49/512,255.36
  6. Step 6: Final answer
    x = 443,099.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.